Use substitution to determine whether the given number is a zero of the given polynomial.
-$$- 3 ; f ( x ) = x ^ { 4 } - 3 x ^ { 2 } - 54$$
A) Yes
B) No

Name: Use substitution to determine whether the given number is a zero of the given polynomial. -\[- 3 ; f ( x ) = x ^ { 4 } - 3 x ^ { 2 } - 54\] A) Yes B) No
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Question

Quizplus · Accepted Answer

Substituting $-3$ into the polynomial $f(x) = x^4 - 3x^2 - 54$, we get $(-3)^4 - 3(-3)^2 - 54 = 81 - 3(9) - 54 = 81 - 27 - 54 = 0$. Since the result is 0, $-3$ is a zero of the polynomial.

Use Substitution to Determine Whether the Given Number Is a Zero